Publication : t03/106

Large N expansion of the 2-matrix model, multicut case

Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)

Abstract:
We present a method, based on loop equations, to compute recursively, all the terms in the large $N$ topological expansion of the free energy for the 2-hermitian matrix model, in the case where the support of the density of eigenvalues is not connected. We illustrate the method by computing the free energy of a statistical physics model on a discretized torus.

Année de publication : 2003
Preprint : arXiv:math-ph/0307052
PACS : 04.60.Nc, 11.25.Hf, 11.15.Pg, 05.50.+q, 02.10.Ox, 02.40.Ky
Keywords : Random matrices; quasiclassical tau function; large N; free energy; algebraic geometry; genus; torus
Langue : Anglais

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